as a nonresident in arizona, do I pay capital gains tax when i sell a home in arizona ?

It depends. If you purchased the property before 2012, there is no capital gains tax or income. If  purchased in 2012 or later, you will pay tax on the income. AZ does not have a separate capital gains tax rate, it is just income. 

Side note for later viewers, AZ changed the laws in 2025 and are effective 2026, all taxable gains irrespective of date acquired. See SB1331 - 571R - Fiscal Note.

You can also claim a credit on your resident state return for the tax paid to AZ.

You get credit for the lower state tax on the lowest taxable amount.

• Each state calculates taxable income differently. 
• Each state has its own tax rate/ system.
• You get the lowest of both categories as a tax credit.